Remove and add database in AG to enable service broker

Hi All,
Right now am testing in AG, I have a scenario where I created AG without enabling service broker, As per experts Service broker should be enabled first before AOAG since I did not, I remove the DB from AG enabled back service broker and the add back the DB it worked fine also as a point to make when i remove the DB I did not perform any backups in primary DB.
I have 2 questions ->

1) Is this above method correct
2) Will removing and add a DB will affect the AG setup (though no backup will be performed)

Thanks

Best Regards Moug